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Simplifying 8 + 6(x + -6) = 3 + -3(x + -4) Reorder the terms: 8 + 6(-6 + x) = 3 + -3(x + -4) 8 + (-6 * 6 + x * 6) = 3 + -3(x + -4) 8 + (-36 + 6x) = 3 + -3(x + -4) Combine like terms: 8 + -36 = -28 -28 + 6x = 3 + -3(x + -4) Reorder the terms: -28 + 6x = 3 + -3(-4 + x) -28 + 6x = 3 + (-4 * -3 + x * -3) -28 + 6x = 3 + (12 + -3x) Combine like terms: 3 + 12 = 15 -28 + 6x = 15 + -3x Solving -28 + 6x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -28 + 6x + 3x = 15 + -3x + 3x Combine like terms: 6x + 3x = 9x -28 + 9x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 -28 + 9x = 15 + 0 -28 + 9x = 15 Add '28' to each side of the equation. -28 + 28 + 9x = 15 + 28 Combine like terms: -28 + 28 = 0 0 + 9x = 15 + 28 9x = 15 + 28 Combine like terms: 15 + 28 = 43 9x = 43 Divide each side by '9'. x = 4.777777778 Simplifying x = 4.777777778
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